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storchak [24]
2 years ago
12

Solve 7 2/3 - (1 2/4 + 3 6/8. Choose the number to complete the mixed number.

Mathematics
1 answer:
Serhud [2]2 years ago
8 0
I would say it’s 1 1/6.
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Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
Anarel [89]

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
3 years ago
What’s 9/3 - 6/10 need it in a reduced fraction
emmainna [20.7K]
I think u need to subtract both up and both down
6 0
3 years ago
Read 2 more answers
Which statement correctly explains whether or not the values in the table represent a function of x
Lemur [1.5K]

Answer:

Step-by-step explanation:

A relation is said to be a function when each input value (x-value) show a distinct output value (y-value).

From the table attached,

For input value x = 0, there are multiple values of output values (y = -2, -1, 0, 1, -2).

Therefore, data given in the table doesn't represent a function.

7 0
3 years ago
What is x what X^(3)=12
Hunter-Best [27]

Answer:

2.2894

Step-by-step explanation:

x = ∛12 = 2.2894

6 0
3 years ago
Read 2 more answers
Please answer this question
Vladimir [108]

Answer:

  • a = 3/2
  • b = -1/2

Step-by-step explanation:

  \dfrac{\sqrt{5}-1}{\sqrt{5}+1}=\dfrac{(\sqrt{5}-1)(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\=\dfrac{5-2\sqrt{5}+1}{5-1}=\dfrac{6-2\sqrt{5}}{4}\\\\=\dfrac{3}{2}-\dfrac{1}{2}\sqrt{5}

Comparing this to the form a+b√5, we see that ...

  a = 3/2

  b = -1/2

8 0
3 years ago
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